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Finding the Fourth Proportional to 914.04, 1,371.36 and 452.14

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Solution

The fourth proportional to 914.04, 1,371.36 and 452.14 is: 678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.04 : 1,371.36 = 452.14 : x
  2. Step 2: Convert to fraction form
    914.04/1,371.36 = 452.14/x
  3. Step 3: Cross multiply
    914.04x = 1,371.36 × 452.14
  4. Step 4: Simplify right side
    914.04x = 620,046.71
  5. Step 5: Solve for x
    x = 620,046.71/914.04
  6. Step 6: Final answer
    x = 678.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.